Bibounded uo-convergence and b-property in vector lattices.

We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X , X ∼ ⟩ , X has b-property if and only if the order convergence in X agrees with the order convergence in X ∼ ∼ . [ABSTRACT FROM AUTHOR]